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Semiclassical universality of parametric spectral correlations

Kuipers, Jack ; Sieber, Martin



Abstract

We consider quantum systems with a chaotic classical limit that depends on an external parameter, and study correlations between the spectra at different parameter values. In particular, we consider the parametric spectral form factor K(τ, x) which depends on a scaled parameter difference x. For parameter variations that do not change the symmetry of the system we show by using semiclassical ...

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